Question

Write the coordinates of the point C after dilation with scale factor of 5, centered at the orgin

Answer 1

Answer:

Coordinates of point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)

Step-by-step explanation:

Given the point C

• C(2, 1)

A dilation with a scale factor of 5 means the size of the coordinates of the image of point P will be 5 times larger than than the original coordinates of point C.

Thus, the rule of dilation by a scale factor 5 is:

(x, y)  →  (5x, 5y)

C(2, 1)  →  (5x, 5y) = (5(2), 5(1)) = C'(10, 5)

Therefore, coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)